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"This is a generalization of the calculus of several variables that we teach at CMU to math and science students," said Dr. Chakrabarti. "The main difference is the introduction of a new kind of number called a complex number instead of the everyday 'real numbers' used in calculus. An example of a complex number is the square root of negative one. While there is no real number whose square is negative, there is a complex number with this property."